2006 | OriginalPaper | Chapter
Animating Water Waves Using Semi-Lagrangian Techniques
Authors : M. El Amrani, M. Seaïd
Published in: Progress in Industrial Mathematics at ECMI 2004
Publisher: Springer Berlin Heidelberg
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Semi-Lagrangian techniques are proposed for animating water waves in realistic events. The two-dimensional shallow water equations are considered to model the motion of water flow and a second order time marching procedure which combines the characteristic method with a finite differencing discretization is used to integrate the model. Numerical results are carried out on a squared pool without and with obstacles. The obtained results show that our algorithm is robust, stable and highly accurate.